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ValentinkaMS [17]
3 years ago
14

Find the volume of pyramid with a triangular base. The triangle has a base of 5cm and a height of 14cm. The height of the pyrami

d is 15cm.​
Mathematics
1 answer:
nikitadnepr [17]3 years ago
5 0

Step-by-step explanation:

a \:  =  \frac{1}{2}  \times 5 \times 4 \\ area \: \:of \: base = 10cm {}^{2}  \\ volume \:  =  \frac{1}{3}  \times a \:  \times h \\  =  \frac{1}{3}  \times 10 \times 15 \\  = 50 cm {}^{2}

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Factor completely, then place the answer in the proper location on the grid. <br> 6х^2 - 3х - 30
Tems11 [23]

Answer:

3(x + 2)(2x - 5)

Step-by-step explanation:

Given

6x² - 3x - 30 ← factor out 3 from each term

= 3(2x² - x - 10) ← factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 2 × - 10 = - 20 and sum = - 1

The factors are + 4 and - 5

Use these factors to split the x- term

2x² + 4x - 5x - 10 ( factor the first/second and third/fourth terms )

= 2x(x + 2) - 5(x + 2) ← factor out (x + 2) from each term

= (x + 2)(2x - 5), thus

2x² - x - 10 = (x + 2)(2x - 5) and

6x² - 3x - 30

= 3(x + 2)(2x - 5) ← in factored form

7 0
4 years ago
A museum has 450 visitors each day. If they are open 5 hours, how many people do they see per hour?
lions [1.4K]

Answer: 90 visitors per hour

Explanation: "Per hour" means in 1 hour, so we can rewrite the given statement using fractions as <em>450 visitors/5 hours = __visitors/1 hour</em>.

To find out what goes in the bank, notice that we

have a 1 in the denominator of our second fraction.

So we want to find a fraction that is equivalent

to 450/5 that has a 1 in the denominator.

If we divide the numerator and denominator of 450/5 by 5,

we get the equivalent fraction 90/1 or <em>90 visitors/1 hour</em>.

So now we have <em>90 visitors/1 hour = __visitors/1 hour</em>.

So a 90 must go in the blank.

This means that the museum sees 90 visitors per hour.

3 0
3 years ago
The graph of a linear function passes through the point (1, 1) and has a slope of -3. What is the equation of the function in sl
Zigmanuir [339]
Use the point-slope formula
y-y1=m(x-x1)
y-1=-3(x-1)
y-1=-3x+3
y=-3x+4

5 0
3 years ago
JoJo pay for $6 for 3/5 lb of cheddar cheese she wants to know the price of 2 pounds of cheese
madam [21]

Answer: 10

Step-by-step explanation:

The first thing you do is put 6 over 3/5 as a whole fraction. So it'll look like

\frac{6}{2/5}

Then you divide it! 6 divided by \frac{3}{5}

That gives you the first answer. Then the next answer would be

Answer: 20

4 0
3 years ago
Read 2 more answers
Using a graph, table of values, and/or equations solve the following problem.
katovenus [111]

Answer:

L= 117.0

Step-by-step explanation:

Represent the sofa with S and the love seat with L.

So, we have:

S + L = 351 --- Total Cost

S = 2L

Required

Determine the value of L

Substitute 2L for S in the first equation.

2L + L = 351

3L= 351

Divide both sides by 3

\frac{3L}{3}= \frac{351}{3}

L= \frac{351}{3}

L= 117.0

<em>Hence, a love seat costs 117.0</em>

<em></em>

<u>Using Graph</u>

See attachment for graph

S is plotted on the y-axis and L is on the x-axis.

The green line represents S + L = 351 while the orange line represents S = 2L

When the line of the graph is traced to the x-axis, we have:

L= 117.0

4 0
3 years ago
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